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Finding the Fourth Proportional to 2,556.51, 3,530.07 and 2,057.55

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Solution

The fourth proportional to 2,556.51, 3,530.07 and 2,057.55 is: 2,841.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.51 : 3,530.07 = 2,057.55 : x
  2. Step 2: Convert to fraction form
    2,556.51/3,530.07 = 2,057.55/x
  3. Step 3: Cross multiply
    2,556.51x = 3,530.07 × 2,057.55
  4. Step 4: Simplify right side
    2,556.51x = 7,263,295.53
  5. Step 5: Solve for x
    x = 7,263,295.53/2,556.51
  6. Step 6: Final answer
    x = 2,841.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.